Interference theory of reliability: a review

Patowary, A. N.; Hazarika, Jiten; Sriwastav, G. L.

doi:10.1007/s13198-013-0162-9

Cited by 8 publications

(2 citation statements)

References 75 publications

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“…From the point of view of reliability, furniture construction is considered a multi-component system. In a multi-component system generally, we find the reliability of each component, each of which may be treated as a system itself, and then knowing the structure of the system and using probability concepts, the reliability of the complete system may be evaluated [1,11]. According to [12], the reliability indicators can be divided into five directions according to the theoretical approach and application goals:…”

Section: Introductionmentioning

confidence: 99%

Determination of Reliability of Selected Case Furniture Constructions

Kłos

Langová

2023

Applied Sciences

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The reliability of furniture constitutes one of the most important features taken into consideration when buying furniture. However, to evaluate furniture reliability, furniture manufacturers often rely on their own experiences and common patterns without the usage of specialized tools. The presented work aimed to develop a mathematical apparatus to be used in a specially created web application that would enable the calculation of the reliability of the selected furniture joints and whole case furniture structures. This paper describes the functionality features of the newly created web application, which could be used in the furniture industry practice providing a valuable support tool for engineering works. In this paper, the reliability calculations are presented for the examples of furniture eccentric joints and case-type furniture made of those joints. Two different materials, namely MDF and laminated three-layer particleboard, of 18 mm are considered. The achieved results confirm the higher reliability of the furniture eccentric joints made of MDF of 18 mm in comparison to the furniture eccentric joints made of particleboard of the same thickness. The calculations of reliability for the analyzed construction of furniture confirmed also that the reliability improved when the parallel reliability structure was adapted. That was the case for both the MDF and laminated three-layer particleboard.

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Section: Introductionmentioning

confidence: 99%

Determination of Reliability of Selected Case Furniture Constructions

Kłos

Langová

2023

Applied Sciences

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“…Kotz et al (2003) have provided a comprehensive review of the development of the stress-strength model up to the year 2003. Another review of stress-strength models and interference models are considered by Patowary et al (2013). Govindarajulu (1974) has considered the sequential procedure for the problem of obtaining the confidence interval for the parameter R in three cases, the first of which assumes that (X, Y) follow the bivariate normal distribution and the next two apply the nonparametric approaches.…”

Section: Introductionmentioning

confidence: 99%

Sequential-Based Approach for Estimating the Stress-Strength Reliability Parameter for Exponential Distribution

Khalifeh

Mahmoudi

Dolati

2020

JIRSS

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In this paper, two-stage and purely sequential estimation procedures are considered to construct fixed-width confidence intervals for the reliability parameter under the stress-strength model when the stress and strength are independent exponential random variables with different scale parameters. The exact distribution of the stopping rule under the purely sequential procedure is approximated using the law of large numbers and Monte Carlo integration. For the two-stage sequential procedure, explicit formulas for the distribution of the total sample size, the expected value and mean squared error of the maximum likelihood estimator of the reliability parameter under the stress-strength model are provided. Moreover, it is shown that both proposed sequential procedures are finite, and in exceptional cases, the exact distribution of stopping times is degenerate distribution at the initial sample size. The performances of the proposed methodologies are investigated with the help of simulations. Finally using real data, the procedures are clearly illustrated.

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